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Finding the Third Proportional to 9,838.13 and 15,645.38

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Solution

The third proportional to 9,838.13 and 15,645.38 is: 24,880.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.13 : 15,645.38 = 15,645.38 : x
  2. Step 2: Convert to fraction form
    9,838.13/15,645.38 = 15,645.38/x
  3. Step 3: Cross multiply
    9,838.13x = 15,645.38 × 15,645.38
  4. Step 4: Simplify right side
    9,838.13x = 244,777,758.89
  5. Step 5: Solve for x
    x = 244,777,758.89/9,838.13
  6. Step 6: Final answer
    x = 24,880.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.